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2. Equating coefficients - Wikipedia

   en.wikipedia.org/wiki/Equating_coefficients

   A similar problem, involving equating like terms rather than coefficients of like terms, arises if we wish to de-nest the nested radicals + to obtain an equivalent expression not involving a square root of an expression itself involving a square root, we can postulate the existence of rational parameters d, e such that

3. Microsoft Math Solver - Wikipedia

   en.wikipedia.org/wiki/Microsoft_Math_Solver

   Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.

4. How to Solve It - Wikipedia

   en.wikipedia.org/wiki/How_to_Solve_It

   Can you vary or change your problem to create a new problem (or set of problems) whose solution(s) will help you solve your original problem? Search: Auxiliary Problem: Can you find a subproblem or side problem whose solution will help you solve your problem? Subgoal: Here is a problem related to yours and solved before

5. Linear equation - Wikipedia

   en.wikipedia.org/wiki/Linear_equation

   If b = 0, the line is a vertical line (that is a line parallel to the y-axis) of equation =, which is not the graph of a function of x. Similarly, if a ≠ 0, the line is the graph of a function of y, and, if a = 0, one has a horizontal line of equation =.

6. Jacobi method - Wikipedia

   en.wikipedia.org/wiki/Jacobi_method

   In numerical linear algebra, the Jacobi method (a.k.a. the Jacobi iteration method) is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations.

7. Completing the square - Wikipedia

   en.wikipedia.org/wiki/Completing_the_square

   Since x 2 represents the area of a square with side of length x, and bx represents the area of a rectangle with sides b and x, the process of completing the square can be viewed as visual manipulation of rectangles. Simple attempts to combine the x 2 and the bx rectangles into a larger square

8. Squaregraph - Wikipedia

   en.wikipedia.org/wiki/Squaregraph

   The characterization of squaregraphs in terms of distance from a root and links of vertices can be used together with breadth first search as part of a linear time algorithm for testing whether a given graph is a squaregraph, without any need to use the more complex linear-time algorithms for planarity testing of arbitrary graphs. [2] Several ...

9. Implicit function theorem - Wikipedia

   en.wikipedia.org/wiki/Implicit_function_theorem

   The unit circle can be specified as the level curve f(x, y) = 1 of the function f(x, y) = x 2 + y 2.Around point A, y can be expressed as a function y(x).In this example this function can be written explicitly as () =; in many cases no such explicit expression exists, but one can still refer to the implicit function y(x).